The study of QCD phase structure is always a hot topic in the field of high energy physics.
There are many physical parameters that affect the QCD phase diagram.
Besides temperature and chemical potential, there are also external magnetic fields.
Since quarks are electrically charged and can be coupled to magnetic fields,
while magnetic fields can affect the phase structure of QCD matter.
Recently, with the development of astronomical observation and heavy-ion collision experiments,
it has been found that very strong magnetic fields are generated in both neutron stars
and noncentral heavy-ion collision experiments. At present, the strengths of the magnetic fields
on the surface of neutron star are believe to be the order of \(\sim 5\times 10^{-3}m_{\pi }^{2}\) .
In RHIC, the generated magnetic field is about \(eB\sim m_{\pi }^2\) ,
and in LHC, the generated magnetic field is about \(eB\sim 15m_{\pi }^2\)  [1]}, [2]}.
Due to the asymptotic freedom feature of QCD, the QCD matter will take place
a phase transition from the hadronic phase to the quark gluon plasma phase.
Such a strong magnetic field will have a great influence on
the behavior of charged particles that produced in QCD matter,
and new QCD phase structures may appear.
